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Finding the Fourth Proportional to 65,245.10, 97,867.65 and 34,076.30

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Solution

The fourth proportional to 65,245.10, 97,867.65 and 34,076.30 is: 51,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,245.10 : 97,867.65 = 34,076.30 : x
  2. Step 2: Convert to fraction form
    65,245.10/97,867.65 = 34,076.30/x
  3. Step 3: Cross multiply
    65,245.10x = 97,867.65 × 34,076.30
  4. Step 4: Simplify right side
    65,245.10x = 3,334,967,401.70
  5. Step 5: Solve for x
    x = 3,334,967,401.70/65,245.10
  6. Step 6: Final answer
    x = 51,114.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.